Pith. sign in

In the new basis, the superoperatorLtakes the tridiag- onal form (Qm|L|Pn) =   a0 b1 0 0· · · c1 a1 b2 0· · · 0c 2 a2 b3 · · · 0 0c 3 a3 · · ·

Halt the algorithm ifc j = 0, the resultant set of vectors{|P 0),|P 1)

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Shortcuts to Adiabaticity for non-Hermitian systems in Krylov Space

quant-ph · 2026-07-08 · accept · novelty 7.0

A diagonalization-free Krylov (bi-Lanczos/Arnoldi) construction yields exact or truncated adiabatic gauge potentials for non-Hermitian STA, reducing them to sparse matrix equations that suppress nonadiabatic excitations and detect PT/EP transitions.

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  • Shortcuts to Adiabaticity for non-Hermitian systems in Krylov Space quant-ph · 2026-07-08 · accept · none · ref 5

    A diagonalization-free Krylov (bi-Lanczos/Arnoldi) construction yields exact or truncated adiabatic gauge potentials for non-Hermitian STA, reducing them to sparse matrix equations that suppress nonadiabatic excitations and detect PT/EP transitions.